Chapter 13, Problem 86A

Interpretation Introduction

Interpretation:

The volume of Oxygen and nitrogen gas required to produce $15.4L$ nitrogen dioxide needs to be determined.

Concept introduction:

It involves stoichiometry of the reaction and Avogadro’s law.

Answer to Problem 86A

The volume of oxygen and nitrogen required are $7.7L{N}_{2}and15.4L{O}_2$

Explanation of Solution

The given equation is:

$N_2+2O_2\to 2N{O}_2$

Equation shows $1L$ of Nirogen forms $2LN{O}_2$

Therefore $15.4LN{O}_2$ will be formed by nitrogen:

$\begin{array}{c}15.4LN{O}_2=15.4LN{O}_2\times \frac{1L{N}_2}{2LN{O}_2}\\ =7.7L{N}_2\end{array}$

Equation shows $1L$ of oxygen forms $2LN{O}_2$

Therefore $15.4LN{O}_2$ will be formed by oxygen:

$\begin{array}{c}15.4LN{O}_2=15.4LN{O}_2\times \frac{2L{N}_2}{2LN{O}_2}\\ =15.4L{N}_2\end{array}$

Conclusion

$15.4LN{O}_2$ is formed by $7.7L{N}_{2}and15.4L{O}_2$